Local Extrema of Functions

Related lectures (28)

Page 2 of 3

Covers necessary conditions for extrema and provides illustrative examples.

Explores the conditions for local extrema of functions in several variables, including critical points and the Hessian matrix.

Explains how to find local extrema of functions using derivatives and critical points.

Covers Rolle's Theorem and the Mean Value Theorem, discussing stationary points and extrema.

Explores finding extrema of functions over compact sets and edge parametrization.

Covers the optimization of functions, focusing on finding the maximum and minimum values over a given domain.

Covers the definition of extremum of a function and necessary conditions for local extrema.

Covers the application of Taylor's formula, including composition of functions and detecting local extrema.

Explores the terminology of extrema lies and optimization problems with constraints.

Explores the convergence criteria and the importance of continuity in sequences near a point xo.